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Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Integration > Indefinite integration > Involving functions of the direct function > Involving rational functions of the direct function > Involving (a+b tan2(c z))-n





http://functions.wolfram.com/01.08.21.0100.01









  


  










Input Form





Integrate[1/(a + b Tan[c z]^2)^2, z] == ((a + b + (a - b) Cos[2 c z]) Sec[c z]^4 ((-Sqrt[b]) (-3 a + b) ArcTan[(Sqrt[b] Tan[c z])/Sqrt[a]] (-a - b + (-a + b) Cos[2 c z]) + Sqrt[a] (2 a (a + b) c z + 2 a (a - b) c z Cos[2 c z] - (a - b) b Sin[2 c z])))/(8 a^(3/2) (a - b)^2 c (a + b Tan[c z]^2)^2)










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2002-12-18





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